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Energy Systems and Technologies for the Coming Century ...

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The [] represent spatial averaging <strong>and</strong> <strong>the</strong> overbar represent temporal averaging, <strong>and</strong> <strong>the</strong>prime <strong>and</strong> * represent temporal <strong>and</strong> spatial perturbations respectively. Such that[Eq. 3]When <strong>the</strong> mean wind speed is used (i.e. just <strong>the</strong> first term in Eq. 2] <strong>the</strong>n <strong>the</strong> calculatedannual mean wind power density <strong>for</strong> <strong>the</strong> large test area is given by Figure 7. This is aserious underestimate as time variance contribution <strong>and</strong> spatial variance contributions aremissing.When <strong>the</strong> mean of <strong>the</strong> cube of <strong>the</strong> 6-hourly wind speed is used <strong>the</strong>n <strong>the</strong> calculated annualmean wind power density is given by Figure 8. This estimate included <strong>the</strong> time variancepart at <strong>the</strong> coarse resolution that was missing in Figure 7. However <strong>the</strong> contribution towind power density from <strong>the</strong> spatial variance of wind speed within each 50 x 50 kmblock is still missing.Figure 9, shows <strong>the</strong> calculated wind power density using <strong>the</strong> mean of <strong>the</strong> 6-hourly windspeed, plus <strong>the</strong> contributions temporal <strong>and</strong> spatial variance of wind speed. The temporalvariance comes from a Weibull distribution fitted to <strong>the</strong> 6-hourly time series of winds;given by a scale factor <strong>and</strong> a shape factor. The temporal variance can be expressed interm of <strong>the</strong> shape factor. The spatial variance comes from sum of orography <strong>and</strong>roughness variance contributions, as described here. This estimate shows somewhatincreased wind resources in areas of heterogeneous elevation <strong>and</strong> roughness lengthcompared to <strong>the</strong> estimate based on <strong>the</strong> mean of <strong>the</strong> cube of wind speed (Figure 8).Ano<strong>the</strong>r feature of <strong>the</strong> method making use of <strong>the</strong> spatial variance of wind speed over <strong>the</strong>50 x 50 km blocks, is that <strong>the</strong> distribution of wind power density can be estimated, basedon an assumed distribution of wind speed distribution. In Badger et al (2010) a Gaussi<strong>and</strong>istribution of wind speed was assumed <strong>and</strong> found to suitable <strong>for</strong> most on-l<strong>and</strong> cases,though less appropriate <strong>for</strong> coastal cases. Figure 10 shows <strong>the</strong> mean wind power density<strong>for</strong> <strong>the</strong> windiest 10-percentile of each 50 x 50 km block. Using this map we can see that<strong>the</strong> mountainous areas have high wind power density areas, compared to <strong>the</strong> blocks’mean power density. Whereas in <strong>the</strong> plain <strong>and</strong> offshore areas, <strong>the</strong> wind power density of<strong>the</strong> windiest sites is not much greater than <strong>the</strong> blocks’ mean wind power density.Such knowledge of <strong>the</strong> distribution of <strong>the</strong> wind power density is of great value, as itgives in<strong>for</strong>mation about wind resources in a manner suitable <strong>for</strong> <strong>the</strong> exploitation of wind.Wind turbines are not r<strong>and</strong>omly distributed. They are sited at <strong>the</strong> most favourable sites interms of wind resources <strong>and</strong> after consideration of relevant constraints. Unlike <strong>the</strong>method described here, direct application of coarse resolution global wind datasets doesnot provide <strong>the</strong> distribution of <strong>the</strong> wind resource at a spatial scale smaller than <strong>the</strong> dataresolution.5 ApplicationThe datasets comprising <strong>the</strong> Global Wind Atlas will be created to suit <strong>the</strong> needs of <strong>the</strong>policy makers <strong>and</strong> energy planners. Through dialogue with <strong>the</strong> Integrated AssessmentModel (IAM) community, <strong>the</strong> required specifications of <strong>the</strong> Global Wind Atlas datasetswill be determined.The datasets will give both spatial <strong>and</strong> temporal variation of wind resource. Temporalvariation of wind resource can be of particular importance when consideration of energyRisø International <strong>Energy</strong> Conference 2011 Proceedings Page 223

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